Answer:

The volume of a cone varies jointly as its height, and the square of its radius. If a cone with a height of 8 centimeters and a radius of 2 centimeters has a volume of 33.5 cm³, what is the volume of a cone with a height of 6 centimeters and a radius of 4 centimeters?

Solution:

k = constant of variation

V = khr²

h = 8 cm

r = 2cm

33.5 cm³

V = khr²

33.5 = k(8)(2)²

33.5 = k(8)(4)

33.5 = k(32)

k = 33.5/32

V = khr²

V = (33.5/32)(6)(4)²

V = (33.5/32)(6)(16)

V = 100.5 cm³

Answer:

V = 100.5 cm²

Step-by-step explanation:

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